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Finding the Fourth Proportional to 24,311.64, 33,550.05 and 13,133.64

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Solution

The fourth proportional to 24,311.64, 33,550.05 and 13,133.64 is: 18,124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,311.64 : 33,550.05 = 13,133.64 : x
  2. Step 2: Convert to fraction form
    24,311.64/33,550.05 = 13,133.64/x
  3. Step 3: Cross multiply
    24,311.64x = 33,550.05 × 13,133.64
  4. Step 4: Simplify right side
    24,311.64x = 440,634,278.68
  5. Step 5: Solve for x
    x = 440,634,278.68/24,311.64
  6. Step 6: Final answer
    x = 18,124.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.